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Finding the Fourth Proportional to 7,754.77, 10,702.02 and 4,217.91

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Solution

The fourth proportional to 7,754.77, 10,702.02 and 4,217.91 is: 5,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.77 : 10,702.02 = 4,217.91 : x
  2. Step 2: Convert to fraction form
    7,754.77/10,702.02 = 4,217.91/x
  3. Step 3: Cross multiply
    7,754.77x = 10,702.02 × 4,217.91
  4. Step 4: Simplify right side
    7,754.77x = 45,140,157.18
  5. Step 5: Solve for x
    x = 45,140,157.18/7,754.77
  6. Step 6: Final answer
    x = 5,820.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.